Correct Answer: South-West

Solution : As per the given information, the direction of the girl will look as follows –

Therefore, the girl is facing towards the South-west direction. Hence, the fourth option is correct.

Correct Answer: clues

Solution : The most appropriate option is the third option.

Explanation:
Clues refer to hints, evidence, or information that helps in understanding or solving something. In the context of the passage, moons, asteroids, and comets provide crucial information or hints about the formation and evolution of the solar system. They offer valuable insights that aid in understanding how the solar system came into existence and how it has changed over time.

The meanings of the other options are as follows:

• Sets refer to a group of related objects or things.
• Derivations refer to the process of obtaining something from a source or origin.
• Biases refer to prejudices or inclinations that affect judgement or decision-making based on partiality or preference.

Correct Answer: Sri Lanka

Solution : The correct option is Sri Lanka.

Team Sri Lanka won the 2022 Asia Cup. It is a T20 international cricket tournament. This tournament was held in Dubai. In the finals, Sri Lanka beat Pakistan by 23 runs. By this, Sri Lanka had become six times the winner of the Asia Cup.

Correct Answer: Rs. 10,648

Solution : Here, Principal = Rs. 8,000
Rate = 20%, but it compounded half-yearly. so, rate = $\frac{20}{2}$ = 10%
since interest is compounded half-yearly, time = 1.5 × 2 = 3
$\text{Total Amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$
$⇒\text{Total Amount} = 8000 \left(1 + \frac{10}{100}\right)^{3} $
$⇒\text{Total Amount}=8000(\frac{11}{10})^3$
$⇒\text{Total Amount}=8000(\frac{1331}{1000})$
$\therefore \text{Total Amount}=10648 $
Hence, the correct answer is Rs. 10,648.

Correct Answer: Ranveer Singh

Solution : The correct option is Ranveer Singh.

Ranveer Singh received the Best Actor award. This film fare award is held at Jio Trade Centre, Mumbai. It is the 67th edition of the awards. Other winners-

• Kriti Sanon: Best actress
• Vishnuvardhan: Best Director

Correct Answer: Ferdowsi

Solution : The correct option is Ferdowsi.

The epic poem Shahnama was composed by the Persian poet Ferdowsi. He completed this monumental work in the early 11th century. The Shahnama is an epic of Persian literature that narrates the history, mythology, and legends of ancient Persia, from the creation of the world to the Islamic conquest of Iran.

Correct Answer: 10

Solution : When two circles touch each other externally, the distance between their centres is equal to the sum of their radii.
⇒ Distance = 12 = 7 + Radius of other circle
⇒ Radius of other circle = 12 – 7 = 5 cm
So, the diameter of other circle = 2 × 5 = 10 cm
Hence, the correct answer is 10.

Correct Answer: Rs. 25,000

Solution : Let the cost price of the plasma TV for Yogita be Rs. $x$.
According to the question,
$x×\frac{120}{100}×\frac{110}{100}=33000$
⇒ $x=33000×\frac{100}{120}×\frac{100}{110}$
⇒ $x =25000$
Hence, the correct answer is Rs. 25,000.

Correct Answer: $x^2-y^2$

Solution : $\frac{(x^3-y^3)(x+y)}{x^2+x y+y^2}$
= $\frac{(x-y)(x^2+x y+y^2)(x+y)}{x^2+x y+y^2}$
= $(x-y)(x+y)$
= $x^2-y^2$
Hence, the correct answer is $x^2-y^2$.

Correct Answer: 2

Solution : The correct option is 2.

India's medal tally at the Tokyo Olympics included an impressive collection of 1 gold, 2 silver, and 4 bronze medals. A significant highlight was India's remarkable comeback against Germany, securing a 5-4 victory and clinching the bronze medal. This achievement marked India's third Olympic bronze medal, with prior wins in the 1968 and 1972 Games contributing to their overall count of 12 Olympic medals.